Decay estimates for quasi-linear evolution equations

Journal article

Authors/Editors

Milani, Albert

Research Areas

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Publication Details

Author list: Cherrier P, Milani A

Publisher: Elsevier

Place: PARIS

Publication year: 2011

Journal: Bulletin des Sciences Mathématiques (0007-4497)

Journal acronym: B SCI MATH

Volume number: 135

Issue number: 1

Start page: 33

End page: 58

Number of pages: 26

ISSN: 0007-4497

Languages: English-Great Britain (EN-GB)

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Abstract

We consider global strong solutions of the quasi-linear evolution equations (1,1) and (1,2) below, corresponding to sufficiently small initial data, and prove some stability estimates, as t -> +infinity, that generalize the corresponding estimates in the linear case. (C) 2010 Elsevier Masson SAS. All rights reserved.

Keywords

A priori estimates, Asymptotic behavior, Decay rates estimates, Global existence, Hyperbolic quasi-linear equation, Parabolic quasi-linear equation

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